Preparations for quantum simulations of quantum chromodynamics in 1+1 dimensions. II. Single-baryon ?-decay in real time

A framework for quantum simulations of real-time weak decays of hadrons and nuclei in a two-flavor lattice theory in one spatial dimension is presented. A single generation of the Standard Model is found to require 16 qubits per spatial lattice site after mapping to spin operators via the Jordan-Wigner transformation. Both quantum chromodynamics and flavor-changing weak interactions are included in the dynamics, the latter through four-Fermi effective operators. Quantum circuits that implement time evolution in this lattice theory are developed and run on Quantinuum's H1-1 20-qubit trapped ion system to simulate the fi-decay of a single baryon on one lattice site. These simulations include the initial state preparation and are performed for both one and two Trotter time steps. The potential intrinsic error -correction properties of this type of lattice theory are discussed, and the leading lattice Hamiltonian required to simulate 0vfifi-decay of nuclei induced by a neutrino Majorana mass term is provided.